LCM of 857, 885, 169, 338, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 885, 169, 338, 983 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 857, 885, 169, 338, 983. So, keep reading to learn more.
Given numbers are 857,885,169,338,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,885,169,338,983 is 251996385030.
Find LCM of 857,885,169,338,983 with Prime Factorization
| 13 | 857, 885, 169, 338, 983 |
| 13 | 857, 885, 13, 26, 983 |
| 857, 885, 1, 2, 983 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 857 x 885 x 1 x 2 x 983 = 251996385030
Therefore, the lowest common multiple of 857,885,169,338,983 is 251996385030.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
857 x 885 x 169 x 338 x 983 = 42587389070070
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
857 : 1, 857
885 : 1, 3, 5, 15, 59, 177, 295, 885
169 : 1, 13, 169
338 : 1, 2, 13, 26, 169, 338
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,885,169,338,983, is 1.
Now, the common factors can be found like this.
857:857
885:3x 5x 59
169:13x 13
338:2x 13x 13
983:983
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 42587389070070/(1x169)
LCM = 42587389070070/169
LCM = 251996385030
Thus, we can understand that the LCM of 857,885,169,338,983 is 251996385030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 857, 885, 169, 338, 983
1. What is the LCM of 857, 885, 169, 338, 983?
Answer: LCM of 857, 885, 169, 338, 983 is 251996385030.
2. How to calculate the LCM of 857, 885, 169, 338, 983?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 857, 885, 169, 338, 983.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.